Search a number
-
+
520382120 = 23531478929
BaseRepresentation
bin11111000001000…
…110011010101000
31100021012011001212
4133001012122220
52031204211440
6123345332252
715616114016
oct3701063250
91307164055
10520382120
11247818875
12126337088
1383a7041b
144d17d8b6
1530a42465
hex1f0466a8

520382120 has 64 divisors (see below), whose sum is σ = 1234483200. Its totient is φ = 197130240.

The previous prime is 520382117. The next prime is 520382123. The reversal of 520382120 is 21283025.

It is an interprime number because it is at equal distance from previous prime (520382117) and next prime (520382123).

It is not an unprimeable number, because it can be changed into a prime (520382123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53816 + ... + 62744.

It is an arithmetic number, because the mean of its divisors is an integer number (19288800).

Almost surely, 2520382120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520382120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617241600).

520382120 is an abundant number, since it is smaller than the sum of its proper divisors (714101080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

520382120 is a wasteful number, since it uses less digits than its factorization.

520382120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 520382120 is about 22811.8854985729. The cubic root of 520382120 is about 804.3420778128.

The spelling of 520382120 in words is "five hundred twenty million, three hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2914 5828 7285 8929 11656 14570 17858 29140 35716 44645 58280 71432 89290 178580 276799 357160 419663 553598 839326 1107196 1383995 1678652 2098315 2214392 2767990 3357304 4196630 5535980 8393260 11071960 13009553 16786520 26019106 52038212 65047765 104076424 130095530 260191060 520382120